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444422323201 = 6717359382117
BaseRepresentation
bin1100111011110011010…
…00100111110000000001
31120111010120000012110111
412131321220213300001
524240134103320301
6540055332431321
744052125263243
oct6357150476001
91514116005414
10444422323201
111615298a72aa
1272170178541
1332ba796b59c
141771dc1a093
15b861778551
hex6779a27c01

444422323201 has 8 divisors (see below), whose sum is σ = 451082656640. Its totient is φ = 437762788848.

The previous prime is 444422323171. The next prime is 444422323207. The reversal of 444422323201 is 102323224444.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 444422323201 - 29 = 444422322689 is a prime.

It is a super-3 number, since 3×4444223232013 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444422323207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 971995 + ... + 1354111.

It is an arithmetic number, because the mean of its divisors is an integer number (56385332080).

Almost surely, 2444422323201 is an apocalyptic number.

It is an amenable number.

444422323201 is a deficient number, since it is larger than the sum of its proper divisors (6660333439).

444422323201 is a wasteful number, since it uses less digits than its factorization.

444422323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399543.

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 444422323201 its reverse (102323224444), we get a palindrome (546745547645).

The spelling of 444422323201 in words is "four hundred forty-four billion, four hundred twenty-two million, three hundred twenty-three thousand, two hundred one".

Divisors: 1 67 17359 382117 1163053 25601839 6633169003 444422323201